The Inert Doublet Model(IDM)is one of the simplest extensions beyond the Standard Model(SM)with an extended scalar sector,which provides a scalar dark matter particle candidate.In this study,we investigated the double charged Higgs production at a γγ collider.By scanning the whole parameter space,we obtained the paramet-er points corresponding to the correct relic abundance of dark matter.After applying all theoretical and experimental constraints,the parameter space for the existence of dark matter was extremely restricted.We performed an analysis of the signal of H+H-production in the IDM and the SM background,with the optimized selection conditions chosen for the kinematic variables to maximize the signal significance.Comparing the signal with the background,we obtained the parameter points that may be detected in future γγ collider experiments.